TSTP Solution File: NUM433+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM433+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:43:54 EDT 2023
% Result : Theorem 81.41s 81.61s
% Output : Proof 81.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM433+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 12:45:42 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 81.41/81.61 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iDE8VlDi5u/cvc5---1.0.5_16328.p...
% 81.41/81.61 ------- get file name : TPTP file name is NUM433+1
% 81.41/81.61 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16328.smt2...
% 81.41/81.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 81.41/81.61 --- Run --no-e-matching --full-saturate-quant at 5...
% 81.41/81.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 81.41/81.61 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 81.41/81.61 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 81.41/81.61 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 81.41/81.61 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 81.41/81.61 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 81.41/81.61 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 81.41/81.61 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 81.41/81.61 --- Run --relevant-triggers --full-saturate-quant at 5...
% 81.41/81.61 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 81.41/81.61 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 81.41/81.61 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 81.41/81.61 % SZS status Theorem for NUM433+1
% 81.41/81.61 % SZS output start Proof for NUM433+1
% 81.41/81.61 (
% 81.41/81.61 (let ((_let_1 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xp))) (let ((_let_3 (tptp.sdtasdt0 tptp.xp tptp.xq))) (let ((_let_4 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb _let_3))) (let ((_let_5 (not (=> _let_4 (and _let_2 _let_1))))) (let ((_let_6 (tptp.aInteger0 tptp.xq))) (let ((_let_7 (tptp.aInteger0 tptp.xp))) (let ((_let_8 (tptp.aInteger0 tptp.xb))) (let ((_let_9 (tptp.aInteger0 tptp.xa))) (let ((_let_10 (and _let_9 _let_8 _let_7 (not (= tptp.xp tptp.sz00)) _let_6 (not (= tptp.xq tptp.sz00))))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))))) (let ((_let_12 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))))) (let ((_let_13 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))))) (let ((_let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_19 (tptp.sdtasdt0 tptp.xq tptp.xp))) (let ((_let_20 (= _let_3 _let_19))) (let ((_let_21 (tptp.sdtasdt0 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (tptp.smndt0 tptp.xb))) (let ((_let_23 (tptp.sdtpldt0 tptp.xa _let_22))) (let ((_let_24 (= _let_23 _let_21))) (let ((_let_25 (tptp.sdtasdt0 tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (tptp.sdtasdt0 tptp.xq _let_25))) (let ((_let_27 (= (tptp.sdtasdt0 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_26))) (let ((_let_28 (= _let_23 _let_26))) (let ((_let_29 (not _let_6))) (let ((_let_30 (not _let_7))) (let ((_let_31 (or _let_30 _let_29 _let_20))) (let ((_let_32 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (AND_ELIM _let_34 :args (4)))) (let ((_let_36 (AND_ELIM _let_34 :args (2)))) (let ((_let_37 (not _let_24))) (let ((_let_38 (tptp.aInteger0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37))) (let ((_let_41 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)) (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xp tptp.xq) W2))))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (not _let_41))) (let ((_let_44 (= tptp.sz00 _let_3))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.aInteger0 _let_3))) (let ((_let_47 (and _let_46 _let_45 _let_43))) (let ((_let_48 (tptp.aDivisorOf0 _let_3 _let_23))) (let ((_let_49 (= _let_48 _let_47))) (let ((_let_50 (tptp.aInteger0 _let_23))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (forall ((W0 $$unsorted) (BOUND_VARIABLE_999 $$unsorted)) (or (not (tptp.aInteger0 W0)) (= (tptp.aDivisorOf0 BOUND_VARIABLE_999 W0) (and (tptp.aInteger0 BOUND_VARIABLE_999) (not (= tptp.sz00 BOUND_VARIABLE_999)) (not (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= W0 (tptp.sdtasdt0 BOUND_VARIABLE_999 W2)))))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.aDivisorOf0 BOUND_VARIABLE_999 W0)))) (let ((_let_57 (tptp.aInteger0 _let_22))) (let ((_let_58 (not _let_57))) (let ((_let_59 (not _let_9))) (let ((_let_60 (or _let_59 _let_58 _let_50))) (let ((_let_61 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (not _let_8))) (let ((_let_64 (or _let_63 _let_57))) (let ((_let_65 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (AND_ELIM _let_34 :args (1)))) (let ((_let_68 (AND_ELIM _let_34 :args (0)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_58 _let_50 (not _let_60)))) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_57 (not _let_64)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smndt0 W0)))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_57 false _let_8 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.xa _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_50 false _let_9 false _let_57 false _let_60)))) (let ((_let_70 (= _let_4 _let_48))) (let ((_let_71 (not _let_46))) (let ((_let_72 (or _let_59 _let_63 _let_71 _let_44 _let_70))) (let ((_let_73 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= tptp.sz00 W2) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 ((tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2)))) (let ((_let_77 (or _let_30 _let_29 _let_46))) (let ((_let_78 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_82 (= tptp.sz00 tptp.xq))) (let ((_let_83 (= tptp.sz00 tptp.xp))) (let ((_let_84 (or _let_30 _let_29 _let_45 _let_83 _let_82))) (let ((_let_85 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (= tptp.sz00 (tptp.sdtasdt0 W0 W1))) (= tptp.sz00 W0) (= tptp.sz00 W1))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (AND_ELIM _let_34 :args (5)))) (let ((_let_88 (AND_ELIM _let_34 :args (3)))) (let ((_let_89 (ASSUME :args (_let_5)))) (let ((_let_90 (or))) (let ((_let_91 (_let_43))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_41))) (REFL :args (_let_42)) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_47 2)) :args ((or _let_43 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_49)) :args ((or (not _let_48) _let_47 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_70)) :args ((or (not _let_4) _let_48 (not _let_70)))) (NOT_IMPLIES_ELIM1 _let_89) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_59 _let_63 _let_44 _let_71 _let_70 (not _let_72)))) _let_68 _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_82 _let_30 _let_29 _let_45 (not _let_84)))) _let_88 _let_87 _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.xp tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_45 true _let_83 true _let_82 false _let_7 false _let_6 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_30 _let_29 _let_46 (not _let_77)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.xp tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_46 false _let_7 false _let_6 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xa tptp.xb _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_72 false _let_73)) :args (_let_70 false _let_9 false _let_8 true _let_44 false _let_46 false _let_72)) :args (_let_48 false _let_4 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_49 (not _let_52)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_23 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_52 false _let_53)) :args (_let_49 false _let_50 false _let_52)) :args (_let_47 false _let_48 false _let_49)) :args (_let_43 false _let_47)) :args (_let_42 true _let_41)))) (let ((_let_93 (REFL :args (_let_40)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_24))) :args _let_90)) :args ((or _let_24 _let_40))) _let_92 :args (_let_24 true _let_40)))) (let ((_let_95 (or _let_29 _let_30 _let_39 _let_27))) (let ((_let_96 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_90)) :args ((or _let_38 _let_40))) _let_92 :args (_let_38 true _let_40)))) (let ((_let_101 (not _let_28))) (let ((_let_102 (tptp.aInteger0 _let_25))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)) (tptp.sdtasdt0 tptp.xq W2))))))) (let ((_let_106 (not _let_105))) (let ((_let_107 (not _let_82))) (let ((_let_108 (and _let_6 _let_107 _let_106))) (let ((_let_109 (tptp.aDivisorOf0 tptp.xq _let_23))) (let ((_let_110 (= _let_109 _let_108))) (let ((_let_111 (not _let_108))) (let ((_let_112 (or _let_51 _let_110))) (let ((_let_113 (= _let_1 _let_109))) (let ((_let_114 (not _let_109))) (let ((_let_115 (or _let_59 _let_63 _let_29 _let_82 _let_113))) (let ((_let_116 (tptp.aDivisorOf0 tptp.xp _let_23))) (let ((_let_117 (= _let_2 _let_116))) (let ((_let_118 (or _let_59 _let_63 _let_30 _let_83 _let_117))) (let ((_let_119 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)) (tptp.sdtasdt0 tptp.xp W2))))))) (let ((_let_120 (not _let_119))) (let ((_let_121 (not _let_83))) (let ((_let_122 (and _let_7 _let_121 _let_120))) (let ((_let_123 (= _let_116 _let_122))) (let ((_let_124 (or _let_51 _let_123))) (let ((_let_125 (tptp.sdtasdt0 tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_126 (tptp.sdtasdt0 tptp.xp _let_125))) (let ((_let_127 (= _let_23 _let_126))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.aInteger0 _let_125))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128))) (let ((_let_132 (not _let_131))) (let ((_let_133 (= _let_21 _let_126))) (let ((_let_134 (or _let_30 _let_29 _let_39 _let_133))) (let ((_let_135 (and _let_24 _let_133))) (let ((_let_136 (ASSUME :args (_let_133)))) (let ((_let_137 (ASSUME :args (_let_24)))) (let ((_let_138 (SYMM (SYMM _let_137)))) (let ((_let_139 (or _let_29 _let_39 _let_129))) (let ((_let_140 (_let_119))) (let ((_let_141 (_let_122))) (let ((_let_142 (_let_108))) (let ((_let_143 (_let_105))) (let ((_let_144 (or _let_30 _let_39 _let_102))) (let ((_let_145 (ASSUME :args (_let_101)))) (let ((_let_146 (ASSUME :args (_let_27)))) (let ((_let_147 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_146 _let_147 _let_137) (SCOPE (TRANS _let_138 (CONG (SYMM (SYMM _let_147)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args (APPLY_UF tptp.sdtasdt0)) (SYMM (SYMM _let_146))) :args (_let_27 _let_20 _let_24))) _let_145) :args (_let_20 _let_24 _let_27 _let_101)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_28)))))) (FALSE_INTRO _let_145))) :args (_let_28 _let_101)) :args ((not (and _let_20 _let_24 _let_27 _let_101)) SB_LITERAL))) (CONG (REFL :args ((not _let_20))) (REFL :args (_let_37)) (REFL :args ((not _let_27))) (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_28))) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_101 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_30 _let_39 _let_102 (not _let_144)))) _let_36 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_144 false _let_78)) :args (_let_102 false _let_7 false _let_38 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_143) :args (_let_25 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_143)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_142) (CONG (REFL :args _let_142) (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_82))) (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_105))) :args _let_90)) :args ((or _let_82 _let_29 _let_105 _let_108))) _let_87 _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_110)) :args ((or _let_109 _let_111 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_113)) :args ((or _let_1 _let_114 (not _let_113)))) (MACRO_RESOLUTION_TRUST (NOT_AND (NOT_IMPLIES_ELIM2 _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_117)) :args ((or _let_2 (not _let_116) (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_123)) :args ((or _let_116 (not _let_122) (not _let_123)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_141) (CONG (REFL :args _let_141) (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_83))) (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_119))) :args _let_90)) :args ((or _let_83 _let_30 _let_119 _let_122))) _let_88 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_140) :args (_let_125 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 tptp.xp W2)))) :args _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_128 _let_132))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_29 _let_39 _let_129 (not _let_139)))) _let_35 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_80)) _let_79 :args (_let_139 false _let_78)) :args (_let_129 false _let_6 false _let_38 false _let_139)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_135)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_137) (SCOPE (TRANS _let_138 (SYMM (SYMM _let_136))) :args (_let_133 _let_24))) :args (_let_24 _let_133))) :args (true _let_135)) _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_30 _let_29 _let_39 _let_133 (not _let_134)))) _let_36 _let_35 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.xp tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_98))) _let_97 :args (_let_134 false _let_96)) :args (_let_133 false _let_7 false _let_6 false _let_38 false _let_134)) :args (_let_127 false _let_24 false _let_133)) :args (_let_132 false _let_129 false _let_127)) :args (_let_120 true _let_131)) :args (_let_122 true _let_83 false _let_7 true _let_119)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_51 _let_123 (not _let_124)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_23 tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_124 false _let_53)) :args (_let_123 false _let_50 false _let_124)) :args (_let_116 false _let_122 false _let_123)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_83 _let_59 _let_63 _let_30 _let_117 (not _let_118)))) _let_88 _let_68 _let_67 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xa tptp.xb tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_118 false _let_73)) :args (_let_117 true _let_83 false _let_9 false _let_8 false _let_7 false _let_118)) :args (_let_2 false _let_116 false _let_117)) :args ((not _let_1) false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_82 _let_59 _let_63 _let_29 _let_113 (not _let_115)))) _let_87 _let_68 _let_67 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xa tptp.xb tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_115 false _let_73)) :args (_let_113 true _let_82 false _let_9 false _let_8 false _let_6 false _let_115)) :args (_let_114 true _let_1 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_51 _let_110 (not _let_112)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_23 tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55)) _let_54 :args (_let_112 false _let_53)) :args (_let_110 false _let_50 false _let_112)) :args (_let_111 true _let_109 false _let_110)) :args (_let_105 true _let_82 false _let_6 true _let_108)) :args (_let_104 false _let_105)) :args (_let_101 false _let_102 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_30 _let_29 _let_39 _let_27 (not _let_95)))) _let_36 _let_35 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.xq tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_98))) _let_97 :args (_let_95 false _let_96)) :args (_let_27 false _let_7 false _let_6 false _let_38 false _let_95)) _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 _let_20 (not _let_31)))) _let_36 _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.xp tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_20 false _let_7 false _let_6 false _let_31)) :args (false true _let_28 false _let_27 false _let_24 false _let_20)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) (tptp.aInteger0 tptp.sz00) (tptp.aInteger0 tptp.sz10) _let_18 _let_17 _let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) _let_15 _let_14 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) _let_13 _let_12 _let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W1 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00)) (tptp.aInteger0 W3)) (=> (and (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W1 W3 W2)) (tptp.sdteqdtlpzmzozddtrp0 W0 W3 W2)))) _let_10 _let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 81.41/81.62 )
% 81.41/81.62 % SZS output end Proof for NUM433+1
% 81.41/81.62 % cvc5---1.0.5 exiting
% 81.41/81.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------